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相关论文: The twist-3 parton distribution function e(x) in l…

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The chirally-odd twist-3 nucleon distribution e(x) is studied in the large-Nc limit in the framework of the chiral quark-soliton model at a low normalization point of about 0.6 GeV. The remarkable result is that in the model e(x) contains a…

高能物理 - 唯象学 · 物理学 2009-11-10 P. Schweitzer

We clarify the nonperturbative origin of the $\delta$-function singularity at $x = 0$ in the chiral-odd twist-3 distribution function $e(x)$ of the nucleon. We also compare a theoretical prediction for $e(x)$ based on the chiral quark…

高能物理 - 唯象学 · 物理学 2017-08-23 M. Wakamatsu , Y. Ohnishi

The first moment the chirality-odd twist-3 parton distribution $e(x)$ is related to the pion-nucleon $\sigma$-term which is important for phenomenology. However, the possible existence of a singular contribution proportional to $\delta(x)$…

高能物理 - 唯象学 · 物理学 2020-12-01 J. P. Ma , G. P. Zhang

We analytically prove that the existence of the delta-function singularity in the chirally-odd twist-3 distribution $e(x)$ of the nucleon is inseparably connected with the nonvanishing quark condensate as a signal of the spontaneous chiral…

高能物理 - 唯象学 · 物理学 2009-11-10 M. Wakamatsu , Y. Ohnishi

Properties of the nucleon twist-3 distribution function e(x) are reviewed. It is emphasized that the QCD equations of motion imply the existence of a delta-function at x=0 in e(x), which gives rise to the pion-nucleon sigma-term. According…

高能物理 - 唯象学 · 物理学 2014-11-17 A. V. Efremov , P. Schweitzer

The isosinglet combination of the chiral-odd twist-3 distribution function $e^u(x)+e^d(x)$ of the nucleon has outstanding properties that its first moment is proportional to the well-known $\pi N$ sigma-term and that it contains a…

高能物理 - 唯象学 · 物理学 2009-11-10 Y. Ohnishi , M. Wakamatsu

We prove that the twist-3 chiral-odd parton distributions obey simple Gribov-Lipatov-Altarelli-Parisi evolution equations in the limit $N_c\to\infty$ and give analytic results for the corresponding anomalous dimensions. To this end we…

高能物理 - 唯象学 · 物理学 2009-10-28 I. I. Balitsky , V. M. Braun , Y. Koike , K. Tanaka

The unpolarized spin-flip isoscalar generalized parton distribution function (E^u+E^d)(x,xi,t) is studied in the large-Nc limit at a low normalization point in the framework of the chiral quark-soliton model. This is the first study of…

高能物理 - 唯象学 · 物理学 2008-11-26 J. Ossmann , M. V. Polyakov , P. Schweitzer , D. Urbano , K. Goeke

The recent measurements of azimuthal single spin asymmetries by the HERMES collaboration has opened up new possibility to measure chiral-odd distribution functions through semi-inclusive deep-inelastic scatterings. Here, predictions are…

高能物理 - 唯象学 · 物理学 2009-10-31 M. Wakamatsu

We study the scale dependence of twist-3 distributions defined with chirality-odd quark-gluon operators. To derive the scale dependence we explicitly calculate these distributions of multi-parton states instead of a hadron. Taking one-loop…

高能物理 - 唯象学 · 物理学 2015-06-11 J. P. Ma , Q. Wang , G. P. Zhang

At large N_c the nucleon can be viewed as a soliton of the effective chiral lagrangian. This picture of nucleons allows a consistent nonperturbative calculation of the leading-twist parton distributions at a low normalization point. We…

高能物理 - 唯象学 · 物理学 2009-10-28 P. V. Pobylitsa , M. V. Polyakov

We calculate the chiral odd quark distributions and the corresponding structure functions $h_T(x,Q^2)$ and $h_L(x,Q^2)$ within the Nambu-Jona-Lasinio chiral soliton model for the nucleon. The $Q^2$ evolution of the twist-2 contributions is…

高能物理 - 唯象学 · 物理学 2016-09-06 L. Gamberg , H. Reinhardt , H. Weigel

We study chiral-odd quark-antiquark correlation functions suitable for lattice calculations of twist-three nucleon parton distribution functions $h_L(x)$ and $e(x)$, and also the twist-two transversity distribution $\delta q(x)$. The…

高能物理 - 唯象学 · 物理学 2021-10-15 Vladimir M. Braun , Yao Ji , Alexey Vladimirov

Sum rules for twist-3 distributions are reexamined. Integral relations between twist-3 and twist-2 parton distributions suggest the possibility for a $\delta$-function at $x=0$. We confirm and clarify this result by constructing $h_L$ and…

高能物理 - 唯象学 · 物理学 2009-11-07 M. Burkardt , Y. Koike

We present the first rainbow-ladder Dyson-Schwinger equations study of the pion's chiral-odd, twist-3 parton distribution $e_{\rm q}(x)$. By deriving a novel Dyson-Schwinger equation for the pion's quark-quark correlation matrix, we…

高能物理 - 唯象学 · 物理学 2026-02-17 Chao Shi , Liming Lu , Ian Cloët , Wenbao Jia , Peter Tandy

We review recent progress in calculating the twist--2 parton distribution functions at a low normalization point in the large--$N_c$ limit, where the nucleon can be described as a soliton of the effective chiral lagrangian. This…

高能物理 - 唯象学 · 物理学 2007-05-23 C. Weiss

The isosinglet unpolarized and isovector polarized twist-2 quark distributions of the nucleon at low normalization point are calculated in the large-Nc limit. The nucleon is described as a soliton of the effective chiral theory. We derive…

高能物理 - 唯象学 · 物理学 2009-10-30 D. I. Diakonov , V. Yu. Petrov , P. V. Pobylitsa , M. V. Polyakov , C. Weiss

Sum rules for twist-3 distributions are reexamined. Integral relations between twist-3 and twist-2 parton distributions suggest the possibility for a $\delta$-function at $x=0$. We confirm and clarify this result by constructing $h_L$ and…

高能物理 - 唯象学 · 物理学 2007-05-23 M. Burkardt , Y. Koike

We prove that the twist-3 chiral-odd parton distributions obey simple GLAP evolution equations in the limit $N_c\to\infty$ and give analytic formulae for the corresponding anomalous dimensions. The results are valid to O(1/N_{c}^2) accuracy…

高能物理 - 唯象学 · 物理学 2007-05-23 I. I. Balitsky , V. M. Braun , Y. Koike , K. Tanaka

In this letter, we investigate the nucleon quasi-parton distribution functions in the chiral quark soliton model. We derive a set of sum-rules depending on the velocity of the nucleon and on the Dirac matrix defining the distribution…

高能物理 - 唯象学 · 物理学 2020-08-03 Hyeon-Dong Son , Asli Tandogan , Maxim V. Polyakov
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